MAT (Stage-1) Mock Test

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MAT (Stage-1) Mock Test - 40

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Question 1
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Directions For Questions

Directions: Study the following information carefully and answer the question that follows.

A cube having a volume of 216 cm³ is painted red on two opposite sides, black on the other two opposite sides and green on the remaining two opposite sides. It is then cut into cubes with sides of 1 cm each.

...view full instructions

How many cubes have no sides painted?

A
8

B
64

C
16

D
24

Solution

Volume of a cube = (Side)³ = 216 cm³
Side = 6 cm

Number of small cubes that will have no sides painted = (x - 2)³
Here, x = (6/1) = 6

So, number of small cubes that will have no sides painted = (6 - 2)³ = 4³ = 64
Question 2
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Directions For Questions

Directions: Read the following passage to answer the given question.

Anita, Mahima, Rajan, Lata and Deepti are five cousins. Anita is twice as old as Mahima. Rajan's age is half that of Mahima. Anita's age is half that of Deepti and Rajan's age is twice that of Lata.

...view full instructions

Which of the following persons are of the same age?

A
Mahima and Lata

B
Anita and Mahima

C
Mahima and Rajan

D
None of these

Solution

Clearly, no two persons in the group are of the same age.

The ages of Anita, Mahima, Rajan, Lata and Deepti will be as under.

The age of Mahima = X

The age of Anita = 2X

The age of Deepti = 4X

The age of Rajan = 1/2 x

The age of Lata = 1/4x
Question 3
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Read the following passage to answer the question.

Anita, Mahima, Rajan, Lata and Deepti are five cousins. Anita is twice as old as Mahima. Rajan's age is half that of Mahima's age. Anita's age is half that of Deepti's age and Rajan's age is twice that of Lata's age.

Anita is younger than

A
Rajan

B
Mahima

C
Deepti

D
None of these

Solution

Let Mahima's age be x. Then, Anita's age = 2x, Rajan's age = x/2, Deepti's age = 4x and Lata's age = x/4
So, the descending order of ages is Deepti > Anita > Mahima > Rajan > Lata.

Lata is the youngest.

Anita is younger than Deepti.
Question 4
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Directions For Questions

Directions: Read the following passage to answer the question.

Anita, Mahima, Rajan, Lata and Deepti are five cousins. Anita is twice as old as Mahima. Rajan's age is half that of Mahima. Anita's age is half that of Deepti and Rajan's age is twice that of Lata.

...view full instructions

Who is the youngest?

A
Deepti

B
Rajan

C
Lata

D
Anita

Solution

Let Mahima's age be x.
Then, Anita's age = 2x, Rajan's age = x/2, Deepti's age = 4x and Lata's age = x/4
So, the descending order of ages is Deepti > Anita > Mahima > Rajan > Lata.
Lata is the youngest.